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Is there a linear relationship between the permittivity of the contents of the sensor and the measured capacitances?

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Is there a linear relationship between the permittivity of the contents of the sensor and the measured capacitances?

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For a sensor with internal electrodes, the components of capacitance due to the electric field inside the sensor will always increase in proportion to the material permittivity when the sensor is filled uniformly with higher permittivity material. However for sensors with external electrodes, the permittivity of the wall causes non-linear changes in capacitance, which may increase or decrease depending on the wall thickness and the permittivities of the sensor wall and contents.

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